"Live up to" is a phrase that means to meet or exceed expectations. There are several synonyms for this phrase, including "fulfill," "satisfy," "match," or "measure up." Each of these words can be used in place of "live up to" to convey the same idea. In addition, words like "justify," "validate," and "prove" can also be used to imply that someone or something has proved themselves worthy of a certain standard or expectation. Regardless of which synonym is used, the underlying meaning is the same: meeting or exceeding a standard or expectation set by others or oneself.